A 12-meter rope is broken in half so that x meters make a circle and the remainder forms an equilateral triangle. 1. Make an expression for the sum of the area of the two figures in respect of x. 2. What is the ratio of the shorter to the longer piece if the total area of the two pieces is the smallest possible?

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Chapter63: Volumes Of Pyramids And Cones
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A 12-meter rope is broken in half so that x meters make a circle and the remainder forms an equilateral triangle.


1. Make an expression for the sum of the area of the two figures in respect of x.
2. What is the ratio of the shorter to the longer piece if the total area of the two pieces is the smallest possible?

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